Caracciolo, S; Edwards, RG; Mendes, T; Pelissetto, A; Sokal, AD; (1996) Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N=3,4,8. In: **NUCLEAR PHYSICS B.** (pp. 763 - 766). ELSEVIER SCIENCE BV

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## Abstract

We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice N-vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for N = 3, 4, 8. From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the 1/N expansion.

Type: | Proceedings paper |
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Title: | Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N=3,4,8 |

Event: | Annual International Symposium on Lattice Field Theory |

Location: | MELBOURNE, AUSTRALIA |

Dates: | 1995-07-11 - 1995-07-15 |

Keywords: | NONLINEAR SIGMA-MODELS, EXACT MASS GAP, 2 DIMENSIONS, O(3) |

UCL classification: | UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics |

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